A Simple GPU-Accelerated Solver for the Schrödinger Operator with Applications to Ground States and Hamiltonian Simulation

Xinyu Liu, Xiangxiong Zhang

We extend the tensor-product direct solver from the Laplacian to the Schrödinger operator $-\Delta +V$. When the potential $V_1$ is separable, the operator $-\Delta +V_1$ is inverted or expo…